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1. |
The math scores, x, and chemistry scores, y, for six students are given in the table. Use a graphing calculator to find the Pearson product-moment correlation. |
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A. |
about 0.65 |
B. |
about 0.74 |
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C. |
about 0.71 |
D. |
about 0.68 |
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Hint |
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2. |
Determine between which consecutive integers the real zeros of
f(x) = x4 - 4x2 + x - 3 are located. |
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A. |
between -4 and -3 and between 3 and 4 |
B. |
between -3 and -2 and between 2 and 3 |
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C. |
between -2 and -1 and between 2 and 3 |
D. |
between -3 and -2 and between 5 and 6 |
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Hint |
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3. |
Solve  +  <  . |
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A. |
0 < a < 5 |
B. |
a < 0 or a > 5 |
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C. |
a < 0 or 0 < a < 5 |
D. |
a > 0 or 0 < a < 5 |
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Hint |
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4. |
The angle of elevation of a ladder leaning against a wall is 55°. The ladder is 30 feet long. How high up the wall does it reach? |
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A. |
about 52.30 ft |
B. |
about 42.84 ft |
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C. |
about 24.57 ft |
D. |
about 17.21 ft |
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Hint |
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5. |
If a pulley is turned 240° per second and its radius is 4 inches, find its linear velocity in inches per second. Round to the nearest tenth. |
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A. |
22.3 in./s |
B. |
4.0 in./s |
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C. |
33.5 in./s |
D. |
16.8 in./s |
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Hint |
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6. |
Find sin  . |
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A. |
1 |
B. |
 |
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C. |
-1 |
D. |
- |
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Hint |
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7. |
Let  and  . Find  . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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8. |
Find an ordered triple that represents  if  and  . |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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9. |
The graph of  is a _______. |
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A. |
rose |
B. |
limaçon |
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C. |
cardioid |
D. |
circle |
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Hint |
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10. |
The graph of  is a _____. |
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A. |
lemniscate |
B. |
circle |
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C. |
rose |
D. |
limaçon |
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Hint |
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11. |
Suppose a football player kicks a football with an initial velocity of 22 yards per second at an angle of 63° to the horizontal. Suppose a kick returner catches the ball 3.6 seconds later. How far has the ball traveled horizontally? |
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A. |
about 85 feet |
B. |
about 154 feet |
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C. |
about 223 feet |
D. |
about 108 feet |
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Hint |
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12. |
Write a matrix that will translate a triangular prism using the vector  . |
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A. |
 |
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B. |
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C. |
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D. |
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Hint |
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13. |
Find  . Express the result in rectangular form. |
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A. |
-1024i |
B. |
-1024 |
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C. |
1024 |
D. |
1024i |
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Hint |
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14. |
Write the equation of the hyperbola whose eccentricity is  and whose foci are at (6, 0) and (-6, 0). |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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15. |
Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2). |
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A. |
(y - 2)2 = 40(x - 4) |
B. |
(x - 2)2 = -40(y + 6) |
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C. |
(y - 2)2 = 40(x + 6) |
D. |
(x - 2)2 = 40(y + 6) |
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Hint |
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16. |
Solve 9.4 = -12.5 ln x. |
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A. |
0.4714 |
B. |
0.3464 |
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C. |
0.2625 |
D. |
0.5219 |
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Hint |
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17. |
State the domain and range of the relation. |
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A. |
The domain includes just positive real numbers. The range includes all real numbers. |
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B. |
The domain includes all real numbers. The range includes all positive real numbers. |
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C. |
The domain includes negative real numbers. The range includes all real numbers. |
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D. |
The domain and the range include all real numbers. |
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Hint |
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18. |
Find the rectangular coordinates of the point R . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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19. |
Solve 23x = 5x + 2 by using natural logarithms. |
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A. |
3.4243 |
B. |
0.8356 |
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C. |
6.8486 |
D. |
0.0872 |
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Hint |
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20. |
If  , which statement verifies that Sn is valid for n = k + 1? |
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A. |
 |
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B. |
 |
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C. |
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D. |
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Hint |
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